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Trigonometry Examples
Step 1
Rewrite the equation as .
Step 2
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
Step 3
Step 3.1
Rewrite the equation as .
Step 3.2
Multiply by .
Step 3.3
Divide each term in by and simplify.
Step 3.3.1
Divide each term in by .
Step 3.3.2
Simplify the left side.
Step 3.3.2.1
Cancel the common factor of .
Step 3.3.2.1.1
Cancel the common factor.
Step 3.3.2.1.2
Divide by .
Step 3.3.3
Simplify the right side.
Step 3.3.3.1
Multiply by .
Step 3.3.3.2
Combine and simplify the denominator.
Step 3.3.3.2.1
Multiply by .
Step 3.3.3.2.2
Raise to the power of .
Step 3.3.3.2.3
Raise to the power of .
Step 3.3.3.2.4
Use the power rule to combine exponents.
Step 3.3.3.2.5
Add and .
Step 3.3.3.2.6
Rewrite as .
Step 3.3.3.2.6.1
Use to rewrite as .
Step 3.3.3.2.6.2
Apply the power rule and multiply exponents, .
Step 3.3.3.2.6.3
Combine and .
Step 3.3.3.2.6.4
Cancel the common factor of .
Step 3.3.3.2.6.4.1
Cancel the common factor.
Step 3.3.3.2.6.4.2
Rewrite the expression.
Step 3.3.3.2.6.5
Evaluate the exponent.
Step 3.3.3.3
Cancel the common factor of and .
Step 3.3.3.3.1
Factor out of .
Step 3.3.3.3.2
Cancel the common factors.
Step 3.3.3.3.2.1
Factor out of .
Step 3.3.3.3.2.2
Cancel the common factor.
Step 3.3.3.3.2.3
Rewrite the expression.
Step 3.3.3.3.2.4
Divide by .
Step 3.3.3.4
Multiply by .